MHT CET 2025 Mathematics question

MathematicsCircleMHT CET 2025

The equation of the circle passing through the point (1, 1) and having two diameters along the pair of lines is

Answer: (C)

Solution

Complete the squares: . So the pair of lines is , i.e. , which intersect at . Two diameters meet at the centre, so the centre is . The circle passes through , so $r =

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Question ID VK-101360